Currently no. Well not easily anyway. It might be possible in a future build of VS, but I'm not supposed to give too much information away in regards to upcoming builds because sometimes the features don't end up working out or are too buggy or whatever.
The only thing I can think of really is creating the scarf as another character & then using a loop to update it's position constantly. You would need to use a bit of math calculation to get to position & scale correct - no actually you could have it do that automatically by creating the background of the animation at the same size of the character animation backgrounds & giving it the same animation center.
It's an interesting idea, but unless you are a capable scripter, then I would recommend putting the idea on hold until it's possible to do that in the VS editor instead. But that's entirely up to you.